Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×#102×C47 ⋊ C2 |
| Sylow | C47 ⋊ #26722 |
848 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|c^2=eh,d^2=f,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^46,c^b=cg,g^b=gh,g^c=gh1340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 237629);